Answer:
The ratio of perimeters of polygon = 5 : 9
Explanation:
Given the ratio of side lengths of two similar polygons is 5:9
Considering the polygons to be a regular polygons,
Perimeter of a regular polygon = 5*side
Perimeter of first polygon = 5*5 = 25
Perimeter of second polygon = 5*9 = 45
Ratio of perimeters = [tex]\frac{25}{45}[/tex]
Reducing (Dividing numerator and denominator by 5)
[tex]\frac{25}{45}=25: 45[/tex]
= 5 : 9
Hence, the ratio of perimeters of polygon = 5: 9
